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Finding the Third Proportional to 213,284 and 460,714

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Solution

The third proportional to 213,284 and 460,714 is: 995,186.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,284 : 460,714 = 460,714 : x
  2. Step 2: Convert to fraction form
    213,284/460,714 = 460,714/x
  3. Step 3: Cross multiply
    213,284x = 460,714 × 460,714
  4. Step 4: Simplify right side
    213,284x = 212,257,389,796
  5. Step 5: Solve for x
    x = 212,257,389,796/213,284
  6. Step 6: Final answer
    x = 995,186.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.